scholarly journals Dynamical chiral symmetry breaking in effective models of QCD in the Bethe-Salpeter approach

1999 ◽  
Vol 59 (2) ◽  
pp. 1095-1106 ◽  
Author(s):  
K. Naito ◽  
K. Yoshida ◽  
Y. Nemoto ◽  
M. Oka ◽  
M. Takizawa
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Dynamical Chiral Symmetry Breaking ◽  
Effective Models

Criterion for dynamical chiral symmetry breaking

2007 ◽  
Author(s):  
Bithika Jain ◽  
Indrajit Mitra ◽  
H. S. Sharatchandra ◽  
Aalok Misra
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Dynamical Chiral Symmetry Breaking

Determine the critical fermion flavor in three-dimensional QED using nonlocal gauge

2014 ◽  
Vol 29 (33) ◽  
pp. 1450159
Author(s):  
Hua Jiang ◽  
Yong-Long Wang ◽  
Wei-Tao Lu ◽  
Chuan-Cong Wang
Keyword(s):  
Symmetry Breaking ◽  
Critical Point ◽  
Chiral Symmetry ◽  
Gauge Boson ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Gauge Parameter ◽  
Dynamical Chiral Symmetry Breaking

We determine the critical fermion flavor for dynamical chiral symmetry breaking in three-dimensional quantum electrodynamics using nonlocal gauge (gauge parameter depends on the momentum or coordinate). The coupled Dyson–Schwinger equations of the fermion and gauge boson propagators are considered in the vicinity of the critical point. Illustrated by using the transverse vertex proposed by Bashir et al., we show that: for a variety of the transverse vertex, the critical flavor is still 128/3π2, the same as using the bare vertex.

Symmetries, chiral symmetry breaking, and renormalization

2021 ◽  
pp. 292-323
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Symmetry Properties ◽  
Physical Consequences ◽  
Effective Models ◽  
Continuous Symmetries ◽  
Limiting Case

Most quantum field theories (QFT) of physical interest exhibit symmetries, exact symmetries or symmetries with soft (e.g. linear) breaking. This chapter deals only with linear continuous symmetries corresponding to compact Lie groups. When the bare action has symmetry properties, to preserve the symmetry it is first necessary to find a symmetric regularization. The symmetry properties of the QFT then imply relations between connected correlation functions, and vertex functions, called Ward–Takahashi (WT) identities, which describe the physical consequences of the symmetry. WT identities also constrain UV divergences, and the counter-terms that render the theory finite are not of most general form allowed by power counting. As a consequence the renormalized action is expected to keep some trace of the initial symmetry. Such an analysis is based on a perturbative loop expansion. More generally, some non-trivial relations survive when to the action are added terms that induce a soft breaking of symmetry (i.e. by relevant terms). The specific examples of linear symmetry breaking, and the very important limiting case of spontaneous symmetry breaking, and quadratic symmetry breaking are examined. Finally, as an application, the example of chiral symmetry breaking in low-energy effective models of hadron physics is discussed.

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